Many people have flipped coins but few have stopped to ponder the statistical and physical intricacies of the process. In a preregistered study we collected \(350{,}757\) coin flips to test the ...counterintuitive prediction from a physics model of human coin tossing developed by Diaconis, Holmes, and Montgomery (DHM; 2007). The model asserts that when people flip an ordinary coin, it tends to land on the same side it started -- DHM estimated the probability of a same-side outcome to be about 51%. Our data lend strong support to this precise prediction: the coins landed on the same side more often than not, \(\text{Pr}(\text{same side}) = 0.508\), 95% credible interval (CI) \(0.506\), \(0.509\), \(\text{BF}_{\text{same-side bias}} = 2359\). Furthermore, the data revealed considerable between-people variation in the degree of this same-side bias. Our data also confirmed the generic prediction that when people flip an ordinary coin -- with the initial side-up randomly determined -- it is equally likely to land heads or tails: \(\text{Pr}(\text{heads}) = 0.500\), 95% CI \(0.498\), \(0.502\), \(\text{BF}_{\text{heads-tails bias}} = 0.182\). Furthermore, this lack of heads-tails bias does not appear to vary across coins. Additional exploratory analyses revealed that the within-people same-side bias decreased as more coins were flipped, an effect that is consistent with the possibility that practice makes people flip coins in a less wobbly fashion. Our data therefore provide strong evidence that when some (but not all) people flip a fair coin, it tends to land on the same side it started. Our data provide compelling statistical support for the DHM physics model of coin tossing.
This paper presents the results of measurements of LTE signal for commercial mobile devices on board of a train with the velocity of 80 to 100 km/h along the railway track. This study aims to measure ...the quality of the cellular LTE coverage from Kelana Jaya to Gombak considering the fact of the growing demand for better quality of service from the subscriber. The measurement is performed by conducting a drive test at the frequency range of 1800 MHz in a commercial network where the results are obtained using the G-Net Track. The measurement results present that the quality of the LTE network has not yet reached the standard specified by 3GPP standard in terms of RSRP, SINR, and data rate. The operators in Malaysia can reap the benefits from the measurement results provided in the study for future LTE deployments along the railway track.